I just installed the free version and in the upgrade to + area it says that the paid version does have flash.
I have to say after playing with HDR Camera for just a short time that it really is a nice app, it improved the quality of the pics 100% and even gave sharp clear pics of flowers that were blowing in the wind.
I'm pretty impressed and probably will buy it.
I really like this application. I took this photo using HDR Camera+ a couple of days ago. It was one of my first attempts at using the flash feature of the app. I took this using a Droid2. To give you some idea of scale, the mushroom cap is approximately 2 1/2" across.